On the relation between effort-dominating and symmetric minitive aggregation operators

Abstract

In this paper the recently introduced class of effort- dominating impact functions is examined. It turns out that each effort-dominating aggregation operator not only has a very intuitive interpretation, but also is symmetric minitive, and therefore may be expressed as a so-called quasi-I-statistic, which generalizes the well-know OWMin operator. These aggregation operators may be used e.g. in the Producer Assessment Problem whose most important instance is the scientometric/bibliometric issue of fair scientists' ranking by means of the number of citations received by their papers. © 2012 Springer-Verlag Berlin Heidelberg.